The blue lake trail is 11 3/8 miles long gemma has hiked 2 1/2 miles each hour for three hours how far is she from the end of the trail

Gemma is 3 7/8 miles from the end of trail.

Step-by-step explanation:

Given that,

length of blue lake trail = 11 3/8miles

time Gemma has hiked = 3 hours

distance Gemma have travelled in a hour = 2 1/2

Total distance Gemma have travelled = 2 1/2 * 3

                                                               = (2*2+1)/2 *3

                                                               = (5/2) * 3

                                                               = 15/2

                                                               = 7 1/2miles

= 91/8 - 15/2

= 91/8 - 15*4/2*4

= 91/8 - 60/8

= (91-60) /8

= 31/8 miles

= 3 7/8 miles

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: